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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 271, Pages 122–150 (Mi znsl1352)  
This article is cited in 11 scientific papers (total in 11 papers)

Regularity to stationary weak solutions in the theory of generalized Newtonian fluids with energy transfer

L. Consiglieria, T. N. Shilkinb

a Centro de Matemática e Aplicações Fundamentais, Universidade de Lisboa
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (288 kB) Citations (11)
Abstract: In this work we prove regularity results for weak solutions to some stationary problems arising in the theory of generalized Newtonian fluids with energy transfer. Namely, we prove that these solutions are strong. In two-dimensional case we prove the Hölder continuity of the first gradient of solutions.
Received: 10.10.2000
English version:
Journal of Mathematical Sciences, 2000, Volume 115, Issue 6, Pages 2771–2788
DOI: https://doi.org/10.1023/A:1023369819312
Bibliographic databases:
UDC: 517
Language: English
Citation: L. Consiglieri, T. N. Shilkin, “Regularity to stationary weak solutions in the theory of generalized Newtonian fluids with energy transfer”, Boundary-value problems of mathematical physics and related problems of function theory. Part 31, Zap. Nauchn. Sem. POMI, 271, POMI, St. Petersburg, 2000, 122–150; J. Math. Sci., 115:6 (2000), 2771–2788
Citation in format AMSBIB
\Bibitem{ConShi00}
\by L.~Consiglieri, T.~N.~Shilkin
\paper Regularity to stationary weak solutions in the theory of generalized Newtonian fluids with energy transfer
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~31
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 271
\pages 122--150
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1352}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1810613}
\zmath{https://zbmath.org/?q=an:1118.76300}
\transl
\jour J. Math. Sci.
\yr 2000
\vol 115
\issue 6
\pages 2771--2788
\crossref{https://doi.org/10.1023/A:1023369819312}
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  • https://www.mathnet.ru/eng/znsl/v271/p122
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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